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Finding the Third Proportional to 140,386 and 229,213

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Solution

The third proportional to 140,386 and 229,213 is: 374,243.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,386 : 229,213 = 229,213 : x
  2. Step 2: Convert to fraction form
    140,386/229,213 = 229,213/x
  3. Step 3: Cross multiply
    140,386x = 229,213 × 229,213
  4. Step 4: Simplify right side
    140,386x = 52,538,599,369
  5. Step 5: Solve for x
    x = 52,538,599,369/140,386
  6. Step 6: Final answer
    x = 374,243.87

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.